Finding the Fourth Proportional to 9,538.49, 13,165.85 and 5,761.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.49 : 13,165.85 = 5,761.05 : x
2. Step 2: Convert to fraction form
   9,538.49/13,165.85 = 5,761.05/x
3. Step 3: Cross multiply
   9,538.49x = 13,165.85 × 5,761.05
4. Step 4: Simplify right side
   9,538.49x = 75,849,134.55
5. Step 5: Solve for x
   x = 75,849,134.55/9,538.49
6. Step 6: Final answer
   x = 7,951.91